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Important style guides and useful help

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Relations Chart

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Equivalence Relation Example

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An Equivalence Relation Partitions a set into Collectively Exhaustive and Mutually Exclusive subsets called Equivalence Classes.


Original Set
 


Partition
 


Graph
 


Directed Graph


 


Equivalence Classes form "Squares" in Matrices.
Matrix
 


Set Union can be used to test for Collectively Exhaustive (Union of all Equivalence Classes = Original Set) and Set Intersection for Mutually Exclusive (zero for any Intersection).